Question

Dados os pontos A (1 2 3) B (-6 -2 3) e C(1 2 1) determinar o versor do vetor 3BA - 2BC.

Answer 1

A(1,2,3), B(-6,-2,3) e C(1,2,1)

3BA-2BC

3(A-B)-2(C-B)

3[(1,2,3)-(-6,-2,3)]-2[(-6,-2,3)-(1,2,1)]

3(-7,-4,0)-2(-7,-4,2)

(-21,-12,0)-(-14,-8,4)

v=(7,4,4)

Verso v = v/IvI

versor v= 7,4,4/rais de 7^2+4^2+4^2

versor v = 7,4,4/ rais de 49+16+16= 7,4,4/ rais de 81

versor v= 7,4,4/ 9,9,9